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Finding the Third Proportional to 274,668 and 601,703

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Solution

The third proportional to 274,668 and 601,703 is: 1,318,124.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,668 : 601,703 = 601,703 : x
  2. Step 2: Convert to fraction form
    274,668/601,703 = 601,703/x
  3. Step 3: Cross multiply
    274,668x = 601,703 × 601,703
  4. Step 4: Simplify right side
    274,668x = 362,046,500,209
  5. Step 5: Solve for x
    x = 362,046,500,209/274,668
  6. Step 6: Final answer
    x = 1,318,124.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.